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Finding the Fourth Proportional to 1,118.88, 1,678.25 and 533.45

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Solution

The fourth proportional to 1,118.88, 1,678.25 and 533.45 is: 800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.88 : 1,678.25 = 533.45 : x
  2. Step 2: Convert to fraction form
    1,118.88/1,678.25 = 533.45/x
  3. Step 3: Cross multiply
    1,118.88x = 1,678.25 × 533.45
  4. Step 4: Simplify right side
    1,118.88x = 895,251.40
  5. Step 5: Solve for x
    x = 895,251.40/1,118.88
  6. Step 6: Final answer
    x = 800.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.